72440102160313 has 8 divisors (see below), whose sum is σ = 72719382645000. Its totient is φ = 72161231480448.

The previous prime is 72440102160259. The next prime is 72440102160319. The reversal of 72440102160313 is 31306120104427.

It can be written as a sum of positive squares in 4 ways, for example, as 6521693049 + 72433580467264 = 80757^2 + 8510792^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72440102160313 - 2²⁵ = 72440068605881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72440102160319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102096988 + ... + 102804061.

It is an arithmetic number, because the mean of its divisors is an integer number (9089922830625).

Almost surely, 2^{72440102160313} is an apocalyptic number.

It is an amenable number.

72440102160313 is a deficient number, since it is larger than the sum of its proper divisors (279280484687).

72440102160313 is a wasteful number, since it uses less digits than its factorization.

72440102160313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204902411.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 72440102160313 in words is "seventy-two trillion, four hundred forty billion, one hundred two million, one hundred sixty thousand, three hundred thirteen".